Delay Differential Equation Of Malaria And Measure To Control It Using Wolbachia

Malaria is one of the top three diseases in the world,Africa,most countries and regions in south-East Asia and central and South America are area of high malaria prevalence.The first chapter of this dissertation,we introduce malaria and the use of Wolbachia to control mosquito-borne infectious diseases.In the second chapter,a more realistic works with time delay and Wolbachia as the control measure are studied.The basic reproduction number R₀is obtained and the stability of equilibrium point is studied.The results showed that malaria disappeared when R₀is not very high.Malaria cannot be completely eliminated when R_Ois higher enough.Wolbachia could reduce the breeding population by reducing the number of mosquitoes.Numerical simulation verifies and generalises the theoritical results.Our results show that the extensive use of Wolbachia for malaria control can be achieved in regions where the single-vector population appears.Therefore,for the regions with complex vector populations,the use of Wolbachia for malaria control is very complex and challenging.